What is the Least Common Multiple of 95180 and 95197?
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 95180 and 95197 is 9060850460.
LCM(95180,95197) = 9060850460
Least Common Multiple of 95180 and 95197 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95180 and 95197, than apply into the LCM equation.
GCF(95180,95197) = 1
LCM(95180,95197) = ( 95180 × 95197) / 1
LCM(95180,95197) = 9060850460 / 1
LCM(95180,95197) = 9060850460
Least Common Multiple (LCM) of 95180 and 95197 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95180 and 95197. First we will calculate the prime factors of 95180 and 95197.
Prime Factorization of 95180
Prime factors of 95180 are 2, 5, 4759. Prime factorization of 95180 in exponential form is:
95180 = 22 × 51 × 47591
Prime Factorization of 95197
Prime factors of 95197 are 23, 4139. Prime factorization of 95197 in exponential form is:
95197 = 231 × 41391
Now multiplying the highest exponent prime factors to calculate the LCM of 95180 and 95197.
LCM(95180,95197) = 22 × 51 × 47591 × 231 × 41391
LCM(95180,95197) = 9060850460
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