What is the Least Common Multiple of 190 and 197?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 190 and 197 is 37430.
LCM(190,197) = 37430
Least Common Multiple of 190 and 197 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 190 and 197, than apply into the LCM equation.
GCF(190,197) = 1
LCM(190,197) = ( 190 × 197) / 1
LCM(190,197) = 37430 / 1
LCM(190,197) = 37430
Least Common Multiple (LCM) of 190 and 197 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 190 and 197. First we will calculate the prime factors of 190 and 197.
Prime Factorization of 190
Prime factors of 190 are 2, 5, 19. Prime factorization of 190 in exponential form is:
190 = 21 × 51 × 191
Prime Factorization of 197
Prime factors of 197 are 197. Prime factorization of 197 in exponential form is:
197 = 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 190 and 197.
LCM(190,197) = 21 × 51 × 191 × 1971
LCM(190,197) = 37430
Related Least Common Multiples of 190
- LCM of 190 and 194
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- LCM of 190 and 196
- LCM of 190 and 197
- LCM of 190 and 198
- LCM of 190 and 199
- LCM of 190 and 200
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Related Least Common Multiples of 197
- LCM of 197 and 201
- LCM of 197 and 202
- LCM of 197 and 203
- LCM of 197 and 204
- LCM of 197 and 205
- LCM of 197 and 206
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