What is the Least Common Multiple of 77352 and 77370?

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 77352 and 77370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77352 and 77370, than apply into the LCM equation.

GCF(77352,77370) = 6
LCM(77352,77370) = ( 77352 × 77370) / 6
LCM(77352,77370) = 5984724240 / 6
LCM(77352,77370) = 997454040

Least Common Multiple (LCM) of 77352 and 77370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77352 and 77370. First we will calculate the prime factors of 77352 and 77370.

Prime Factorization of 77352

Prime Factorization of 77370

Now multiplying the highest exponent prime factors to calculate the LCM of 77352 and 77370.

LCM(77352,77370) = 2³ × 3¹ × 11¹ × 293¹ × 5¹ × 2579¹
LCM(77352,77370) = 997454040