What is the Least Common Multiple of 77488 and 77506?

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 77488 and 77506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77488 and 77506, than apply into the LCM equation.

GCF(77488,77506) = 2
LCM(77488,77506) = ( 77488 × 77506) / 2
LCM(77488,77506) = 6005784928 / 2
LCM(77488,77506) = 3002892464

Least Common Multiple (LCM) of 77488 and 77506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77488 and 77506. First we will calculate the prime factors of 77488 and 77506.

Prime Factorization of 77488

Prime Factorization of 77506

Now multiplying the highest exponent prime factors to calculate the LCM of 77488 and 77506.

LCM(77488,77506) = 2⁴ × 29¹ × 167¹ × 11¹ × 13¹ × 271¹
LCM(77488,77506) = 3002892464