What is the Least Common Multiple of 77292 and 77300?

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 77292 and 77300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77292 and 77300, than apply into the LCM equation.

GCF(77292,77300) = 4
LCM(77292,77300) = ( 77292 × 77300) / 4
LCM(77292,77300) = 5974671600 / 4
LCM(77292,77300) = 1493667900

Least Common Multiple (LCM) of 77292 and 77300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77292 and 77300. First we will calculate the prime factors of 77292 and 77300.

Prime Factorization of 77292

Prime Factorization of 77300

Now multiplying the highest exponent prime factors to calculate the LCM of 77292 and 77300.

LCM(77292,77300) = 2² × 3² × 19¹ × 113¹ × 5² × 773¹
LCM(77292,77300) = 1493667900