What is the Least Common Multiple of 89928 and 89940?

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 89928 and 89940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89928 and 89940, than apply into the LCM equation.

GCF(89928,89940) = 12
LCM(89928,89940) = ( 89928 × 89940) / 12
LCM(89928,89940) = 8088124320 / 12
LCM(89928,89940) = 674010360

Least Common Multiple (LCM) of 89928 and 89940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89928 and 89940. First we will calculate the prime factors of 89928 and 89940.

Prime Factorization of 89928

Prime Factorization of 89940

Now multiplying the highest exponent prime factors to calculate the LCM of 89928 and 89940.

LCM(89928,89940) = 2³ × 3² × 1249¹ × 5¹ × 1499¹
LCM(89928,89940) = 674010360