What is the Least Common Multiple of 87464 and 87484?

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 87464 and 87484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87464 and 87484, than apply into the LCM equation.

GCF(87464,87484) = 4
LCM(87464,87484) = ( 87464 × 87484) / 4
LCM(87464,87484) = 7651700576 / 4
LCM(87464,87484) = 1912925144

Least Common Multiple (LCM) of 87464 and 87484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87464 and 87484. First we will calculate the prime factors of 87464 and 87484.

Prime Factorization of 87464

Prime Factorization of 87484

Now multiplying the highest exponent prime factors to calculate the LCM of 87464 and 87484.

LCM(87464,87484) = 2³ × 13¹ × 29² × 21871¹
LCM(87464,87484) = 1912925144