What is the Least Common Multiple of 92400 and 92410?

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 92400 and 92410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92400 and 92410, than apply into the LCM equation.

GCF(92400,92410) = 10
LCM(92400,92410) = ( 92400 × 92410) / 10
LCM(92400,92410) = 8538684000 / 10
LCM(92400,92410) = 853868400

Least Common Multiple (LCM) of 92400 and 92410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92400 and 92410. First we will calculate the prime factors of 92400 and 92410.

Prime Factorization of 92400

Prime Factorization of 92410

Now multiplying the highest exponent prime factors to calculate the LCM of 92400 and 92410.

LCM(92400,92410) = 2⁴ × 3¹ × 5² × 7¹ × 11¹ × 9241¹
LCM(92400,92410) = 853868400