What is the Least Common Multiple of 89538 and 89550?

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 89538 and 89550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89538 and 89550, than apply into the LCM equation.

GCF(89538,89550) = 6
LCM(89538,89550) = ( 89538 × 89550) / 6
LCM(89538,89550) = 8018127900 / 6
LCM(89538,89550) = 1336354650

Least Common Multiple (LCM) of 89538 and 89550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89538 and 89550. First we will calculate the prime factors of 89538 and 89550.

Prime Factorization of 89538

Prime Factorization of 89550

Now multiplying the highest exponent prime factors to calculate the LCM of 89538 and 89550.

LCM(89538,89550) = 2¹ × 3² × 14923¹ × 5² × 199¹
LCM(89538,89550) = 1336354650