What is the Least Common Multiple of 91542 and 91561?

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 91542 and 91561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91542 and 91561, than apply into the LCM equation.

GCF(91542,91561) = 19
LCM(91542,91561) = ( 91542 × 91561) / 19
LCM(91542,91561) = 8381677062 / 19
LCM(91542,91561) = 441140898

Least Common Multiple (LCM) of 91542 and 91561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91542 and 91561. First we will calculate the prime factors of 91542 and 91561.

Prime Factorization of 91542

Prime Factorization of 91561

Now multiplying the highest exponent prime factors to calculate the LCM of 91542 and 91561.

LCM(91542,91561) = 2¹ × 3¹ × 11¹ × 19¹ × 73¹ × 61¹ × 79¹
LCM(91542,91561) = 441140898