What is the Least Common Multiple of 97464 and 97480?

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 97464 and 97480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97464 and 97480, than apply into the LCM equation.

GCF(97464,97480) = 8
LCM(97464,97480) = ( 97464 × 97480) / 8
LCM(97464,97480) = 9500790720 / 8
LCM(97464,97480) = 1187598840

Least Common Multiple (LCM) of 97464 and 97480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97464 and 97480. First we will calculate the prime factors of 97464 and 97480.

Prime Factorization of 97464

Prime Factorization of 97480

Now multiplying the highest exponent prime factors to calculate the LCM of 97464 and 97480.

LCM(97464,97480) = 2³ × 3¹ × 31¹ × 131¹ × 5¹ × 2437¹
LCM(97464,97480) = 1187598840