What is the Least Common Multiple of 77250 and 77270?

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 77250 and 77270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77250 and 77270, than apply into the LCM equation.

GCF(77250,77270) = 10
LCM(77250,77270) = ( 77250 × 77270) / 10
LCM(77250,77270) = 5969107500 / 10
LCM(77250,77270) = 596910750

Least Common Multiple (LCM) of 77250 and 77270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77250 and 77270. First we will calculate the prime factors of 77250 and 77270.

Prime Factorization of 77250

Prime Factorization of 77270

Now multiplying the highest exponent prime factors to calculate the LCM of 77250 and 77270.

LCM(77250,77270) = 2¹ × 3¹ × 5³ × 103¹ × 7727¹
LCM(77250,77270) = 596910750