What is the Least Common Multiple of 76190 and 76200?

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 76190 and 76200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76190 and 76200, than apply into the LCM equation.

GCF(76190,76200) = 10
LCM(76190,76200) = ( 76190 × 76200) / 10
LCM(76190,76200) = 5805678000 / 10
LCM(76190,76200) = 580567800

Least Common Multiple (LCM) of 76190 and 76200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76190 and 76200. First we will calculate the prime factors of 76190 and 76200.

Prime Factorization of 76190

Prime Factorization of 76200

Now multiplying the highest exponent prime factors to calculate the LCM of 76190 and 76200.

LCM(76190,76200) = 2³ × 5² × 19¹ × 401¹ × 3¹ × 127¹
LCM(76190,76200) = 580567800