What is the Least Common Multiple of 91536 and 91542?

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 91536 and 91542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91536 and 91542, than apply into the LCM equation.

GCF(91536,91542) = 6
LCM(91536,91542) = ( 91536 × 91542) / 6
LCM(91536,91542) = 8379388512 / 6
LCM(91536,91542) = 1396564752

Least Common Multiple (LCM) of 91536 and 91542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91536 and 91542. First we will calculate the prime factors of 91536 and 91542.

Prime Factorization of 91536

Prime Factorization of 91542

Now multiplying the highest exponent prime factors to calculate the LCM of 91536 and 91542.

LCM(91536,91542) = 2⁴ × 3¹ × 1907¹ × 11¹ × 19¹ × 73¹
LCM(91536,91542) = 1396564752