What is the Least Common Multiple of 84775 and 84780?

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 84775 and 84780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84775 and 84780, than apply into the LCM equation.

GCF(84775,84780) = 5
LCM(84775,84780) = ( 84775 × 84780) / 5
LCM(84775,84780) = 7187224500 / 5
LCM(84775,84780) = 1437444900

Least Common Multiple (LCM) of 84775 and 84780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84775 and 84780. First we will calculate the prime factors of 84775 and 84780.

Prime Factorization of 84775

Prime Factorization of 84780

Now multiplying the highest exponent prime factors to calculate the LCM of 84775 and 84780.

LCM(84775,84780) = 5² × 3391¹ × 2² × 3³ × 157¹
LCM(84775,84780) = 1437444900