What is the Least Common Multiple of 77376 and 77380?

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 77376 and 77380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77376 and 77380, than apply into the LCM equation.

GCF(77376,77380) = 4
LCM(77376,77380) = ( 77376 × 77380) / 4
LCM(77376,77380) = 5987354880 / 4
LCM(77376,77380) = 1496838720

Least Common Multiple (LCM) of 77376 and 77380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77376 and 77380. First we will calculate the prime factors of 77376 and 77380.

Prime Factorization of 77376

Prime Factorization of 77380

Now multiplying the highest exponent prime factors to calculate the LCM of 77376 and 77380.

LCM(77376,77380) = 2⁶ × 3¹ × 13¹ × 31¹ × 5¹ × 53¹ × 73¹
LCM(77376,77380) = 1496838720