What is the Least Common Multiple of 97596 and 97614?

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 97596 and 97614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97596 and 97614, than apply into the LCM equation.

GCF(97596,97614) = 18
LCM(97596,97614) = ( 97596 × 97614) / 18
LCM(97596,97614) = 9526735944 / 18
LCM(97596,97614) = 529263108

Least Common Multiple (LCM) of 97596 and 97614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97596 and 97614. First we will calculate the prime factors of 97596 and 97614.

Prime Factorization of 97596

Prime Factorization of 97614

Now multiplying the highest exponent prime factors to calculate the LCM of 97596 and 97614.

LCM(97596,97614) = 2² × 3² × 2711¹ × 11¹ × 17¹ × 29¹
LCM(97596,97614) = 529263108