What is the Least Common Multiple of 92992 and 93010?

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 92992 and 93010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92992 and 93010, than apply into the LCM equation.

GCF(92992,93010) = 2
LCM(92992,93010) = ( 92992 × 93010) / 2
LCM(92992,93010) = 8649185920 / 2
LCM(92992,93010) = 4324592960

Least Common Multiple (LCM) of 92992 and 93010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92992 and 93010. First we will calculate the prime factors of 92992 and 93010.

Prime Factorization of 92992

Prime Factorization of 93010

Now multiplying the highest exponent prime factors to calculate the LCM of 92992 and 93010.

LCM(92992,93010) = 2⁶ × 1453¹ × 5¹ × 71¹ × 131¹
LCM(92992,93010) = 4324592960