What is the Least Common Multiple of 89529 and 89540?

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 89529 and 89540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89529 and 89540, than apply into the LCM equation.

GCF(89529,89540) = 11
LCM(89529,89540) = ( 89529 × 89540) / 11
LCM(89529,89540) = 8016426660 / 11
LCM(89529,89540) = 728766060

Least Common Multiple (LCM) of 89529 and 89540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89529 and 89540. First we will calculate the prime factors of 89529 and 89540.

Prime Factorization of 89529

Prime Factorization of 89540

Now multiplying the highest exponent prime factors to calculate the LCM of 89529 and 89540.

LCM(89529,89540) = 3¹ × 11² × 2713¹ × 2² × 5¹ × 37¹
LCM(89529,89540) = 728766060