What is the Least Common Multiple of 87420 and 87429?

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 87420 and 87429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87420 and 87429, than apply into the LCM equation.

GCF(87420,87429) = 3
LCM(87420,87429) = ( 87420 × 87429) / 3
LCM(87420,87429) = 7643043180 / 3
LCM(87420,87429) = 2547681060

Least Common Multiple (LCM) of 87420 and 87429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87420 and 87429. First we will calculate the prime factors of 87420 and 87429.

Prime Factorization of 87420

Prime Factorization of 87429

Now multiplying the highest exponent prime factors to calculate the LCM of 87420 and 87429.

LCM(87420,87429) = 2² × 3¹ × 5¹ × 31¹ × 47¹ × 151¹ × 193¹
LCM(87420,87429) = 2547681060