What is the Least Common Multiple of 92640 and 92649?

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 92640 and 92649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92640 and 92649, than apply into the LCM equation.

GCF(92640,92649) = 3
LCM(92640,92649) = ( 92640 × 92649) / 3
LCM(92640,92649) = 8583003360 / 3
LCM(92640,92649) = 2861001120

Least Common Multiple (LCM) of 92640 and 92649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92640 and 92649. First we will calculate the prime factors of 92640 and 92649.

Prime Factorization of 92640

Prime Factorization of 92649

Now multiplying the highest exponent prime factors to calculate the LCM of 92640 and 92649.

LCM(92640,92649) = 2⁵ × 3¹ × 5¹ × 193¹ × 89¹ × 347¹
LCM(92640,92649) = 2861001120