What is the Least Common Multiple of 97536 and 97546?

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 97536 and 97546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97536 and 97546, than apply into the LCM equation.

GCF(97536,97546) = 2
LCM(97536,97546) = ( 97536 × 97546) / 2
LCM(97536,97546) = 9514246656 / 2
LCM(97536,97546) = 4757123328

Least Common Multiple (LCM) of 97536 and 97546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97536 and 97546. First we will calculate the prime factors of 97536 and 97546.

Prime Factorization of 97536

Prime Factorization of 97546

Now multiplying the highest exponent prime factors to calculate the LCM of 97536 and 97546.

LCM(97536,97546) = 2⁸ × 3¹ × 127¹ × 17¹ × 19¹ × 151¹
LCM(97536,97546) = 4757123328