What is the Least Common Multiple of 78976 and 78995?

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 78976 and 78995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78976 and 78995, than apply into the LCM equation.

GCF(78976,78995) = 1
LCM(78976,78995) = ( 78976 × 78995) / 1
LCM(78976,78995) = 6238709120 / 1
LCM(78976,78995) = 6238709120

Least Common Multiple (LCM) of 78976 and 78995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78976 and 78995. First we will calculate the prime factors of 78976 and 78995.

Prime Factorization of 78976

Prime Factorization of 78995

Now multiplying the highest exponent prime factors to calculate the LCM of 78976 and 78995.

LCM(78976,78995) = 2⁷ × 617¹ × 5¹ × 7¹ × 37¹ × 61¹
LCM(78976,78995) = 6238709120