What is the Least Common Multiple of 97620 and 97635?

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 97620 and 97635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97620 and 97635, than apply into the LCM equation.

GCF(97620,97635) = 15
LCM(97620,97635) = ( 97620 × 97635) / 15
LCM(97620,97635) = 9531128700 / 15
LCM(97620,97635) = 635408580

Least Common Multiple (LCM) of 97620 and 97635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97620 and 97635. First we will calculate the prime factors of 97620 and 97635.

Prime Factorization of 97620

Prime Factorization of 97635

Now multiplying the highest exponent prime factors to calculate the LCM of 97620 and 97635.

LCM(97620,97635) = 2² × 3¹ × 5¹ × 1627¹ × 23¹ × 283¹
LCM(97620,97635) = 635408580