What is the Least Common Multiple of 92970 and 92978?

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 92970 and 92978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92970 and 92978, than apply into the LCM equation.

GCF(92970,92978) = 2
LCM(92970,92978) = ( 92970 × 92978) / 2
LCM(92970,92978) = 8644164660 / 2
LCM(92970,92978) = 4322082330

Least Common Multiple (LCM) of 92970 and 92978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92970 and 92978. First we will calculate the prime factors of 92970 and 92978.

Prime Factorization of 92970

Prime Factorization of 92978

Now multiplying the highest exponent prime factors to calculate the LCM of 92970 and 92978.

LCM(92970,92978) = 2¹ × 3² × 5¹ × 1033¹ × 46489¹
LCM(92970,92978) = 4322082330