What is the Least Common Multiple of 97926 and 97941?

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 of 97926 and 97941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97926 and 97941, than apply into the LCM equation.

GCF(97926,97941) = 3
LCM(97926,97941) = ( 97926 × 97941) / 3
LCM(97926,97941) = 9590970366 / 3
LCM(97926,97941) = 3196990122

Least Common Multiple (LCM) of 97926 and 97941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97926 and 97941. First we will calculate the prime factors of 97926 and 97941.

Prime Factorization of 97926

Prime Factorization of 97941

Now multiplying the highest exponent prime factors to calculate the LCM of 97926 and 97941.

LCM(97926,97941) = 2¹ × 3¹ × 19¹ × 859¹ × 32647¹
LCM(97926,97941) = 3196990122