What is the Least Common Multiple of 78672 and 78690?

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 78672 and 78690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78672 and 78690, than apply into the LCM equation.

GCF(78672,78690) = 6
LCM(78672,78690) = ( 78672 × 78690) / 6
LCM(78672,78690) = 6190699680 / 6
LCM(78672,78690) = 1031783280

Least Common Multiple (LCM) of 78672 and 78690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78672 and 78690. First we will calculate the prime factors of 78672 and 78690.

Prime Factorization of 78672

Prime Factorization of 78690

Now multiplying the highest exponent prime factors to calculate the LCM of 78672 and 78690.

LCM(78672,78690) = 2⁴ × 3¹ × 11¹ × 149¹ × 5¹ × 43¹ × 61¹
LCM(78672,78690) = 1031783280