What is the Least Common Multiple of 87924 and 87940?

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 87924 and 87940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87924 and 87940, than apply into the LCM equation.

GCF(87924,87940) = 4
LCM(87924,87940) = ( 87924 × 87940) / 4
LCM(87924,87940) = 7732036560 / 4
LCM(87924,87940) = 1933009140

Least Common Multiple (LCM) of 87924 and 87940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87924 and 87940. First we will calculate the prime factors of 87924 and 87940.

Prime Factorization of 87924

Prime Factorization of 87940

Now multiplying the highest exponent prime factors to calculate the LCM of 87924 and 87940.

LCM(87924,87940) = 2² × 3¹ × 17¹ × 431¹ × 5¹ × 4397¹
LCM(87924,87940) = 1933009140