What is the Least Common Multiple of 97614 and 97627?

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 97614 and 97627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97614 and 97627, than apply into the LCM equation.

GCF(97614,97627) = 1
LCM(97614,97627) = ( 97614 × 97627) / 1
LCM(97614,97627) = 9529761978 / 1
LCM(97614,97627) = 9529761978

Least Common Multiple (LCM) of 97614 and 97627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97614 and 97627. First we will calculate the prime factors of 97614 and 97627.

Prime Factorization of 97614

Prime Factorization of 97627

Now multiplying the highest exponent prime factors to calculate the LCM of 97614 and 97627.

LCM(97614,97627) = 2¹ × 3² × 11¹ × 17¹ × 29¹ × 233¹ × 419¹
LCM(97614,97627) = 9529761978