What is the Least Common Multiple of 97552 and 97572?

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 97552 and 97572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97552 and 97572, than apply into the LCM equation.

GCF(97552,97572) = 4
LCM(97552,97572) = ( 97552 × 97572) / 4
LCM(97552,97572) = 9518343744 / 4
LCM(97552,97572) = 2379585936

Least Common Multiple (LCM) of 97552 and 97572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97552 and 97572. First we will calculate the prime factors of 97552 and 97572.

Prime Factorization of 97552

Prime Factorization of 97572

Now multiplying the highest exponent prime factors to calculate the LCM of 97552 and 97572.

LCM(97552,97572) = 2⁴ × 7¹ × 13¹ × 67¹ × 3¹ × 47¹ × 173¹
LCM(97552,97572) = 2379585936