What is the Least Common Multiple of 196 and 215?
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 196 and 215 is 42140.
LCM(196,215) = 42140
Least Common Multiple of 196 and 215 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 196 and 215, than apply into the LCM equation.
GCF(196,215) = 1
LCM(196,215) = ( 196 × 215) / 1
LCM(196,215) = 42140 / 1
LCM(196,215) = 42140
Least Common Multiple (LCM) of 196 and 215 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 196 and 215. First we will calculate the prime factors of 196 and 215.
Prime Factorization of 196
Prime factors of 196 are 2, 7. Prime factorization of 196 in exponential form is:
196 = 22 × 72
Prime Factorization of 215
Prime factors of 215 are 5, 43. Prime factorization of 215 in exponential form is:
215 = 51 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 196 and 215.
LCM(196,215) = 22 × 72 × 51 × 431
LCM(196,215) = 42140
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Related Least Common Multiples of 215
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