What is the Least Common Multiple of 79758 and 79776?

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 79758 and 79776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79758 and 79776, than apply into the LCM equation.

GCF(79758,79776) = 18
LCM(79758,79776) = ( 79758 × 79776) / 18
LCM(79758,79776) = 6362774208 / 18
LCM(79758,79776) = 353487456

Least Common Multiple (LCM) of 79758 and 79776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79758 and 79776. First we will calculate the prime factors of 79758 and 79776.

Prime Factorization of 79758

Prime Factorization of 79776

Now multiplying the highest exponent prime factors to calculate the LCM of 79758 and 79776.

LCM(79758,79776) = 2⁵ × 3³ × 7¹ × 211¹ × 277¹
LCM(79758,79776) = 353487456