What is the Least Common Multiple of 77104 and 77108?

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 77104 and 77108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77104 and 77108, than apply into the LCM equation.

GCF(77104,77108) = 4
LCM(77104,77108) = ( 77104 × 77108) / 4
LCM(77104,77108) = 5945335232 / 4
LCM(77104,77108) = 1486333808

Least Common Multiple (LCM) of 77104 and 77108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77104 and 77108. First we will calculate the prime factors of 77104 and 77108.

Prime Factorization of 77104

Prime Factorization of 77108

Now multiplying the highest exponent prime factors to calculate the LCM of 77104 and 77108.

LCM(77104,77108) = 2⁴ × 61¹ × 79¹ × 37¹ × 521¹
LCM(77104,77108) = 1486333808