What is the Least Common Multiple of 89546 and 89560?

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 89546 and 89560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89546 and 89560, than apply into the LCM equation.

GCF(89546,89560) = 2
LCM(89546,89560) = ( 89546 × 89560) / 2
LCM(89546,89560) = 8019739760 / 2
LCM(89546,89560) = 4009869880

Least Common Multiple (LCM) of 89546 and 89560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89546 and 89560. First we will calculate the prime factors of 89546 and 89560.

Prime Factorization of 89546

Prime Factorization of 89560

Now multiplying the highest exponent prime factors to calculate the LCM of 89546 and 89560.

LCM(89546,89560) = 2³ × 44773¹ × 5¹ × 2239¹
LCM(89546,89560) = 4009869880