What is the Least Common Multiple of 77500 and 77504?

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 77500 and 77504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77500 and 77504, than apply into the LCM equation.

GCF(77500,77504) = 4
LCM(77500,77504) = ( 77500 × 77504) / 4
LCM(77500,77504) = 6006560000 / 4
LCM(77500,77504) = 1501640000

Least Common Multiple (LCM) of 77500 and 77504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77500 and 77504. First we will calculate the prime factors of 77500 and 77504.

Prime Factorization of 77500

Prime Factorization of 77504

Now multiplying the highest exponent prime factors to calculate the LCM of 77500 and 77504.

LCM(77500,77504) = 2⁶ × 5⁴ × 31¹ × 7¹ × 173¹
LCM(77500,77504) = 1501640000