What is the Least Common Multiple of 74606 and 74624?

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 74606 and 74624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74606 and 74624, than apply into the LCM equation.

GCF(74606,74624) = 2
LCM(74606,74624) = ( 74606 × 74624) / 2
LCM(74606,74624) = 5567398144 / 2
LCM(74606,74624) = 2783699072

Least Common Multiple (LCM) of 74606 and 74624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74606 and 74624. First we will calculate the prime factors of 74606 and 74624.

Prime Factorization of 74606

Prime Factorization of 74624

Now multiplying the highest exponent prime factors to calculate the LCM of 74606 and 74624.

LCM(74606,74624) = 2⁷ × 7¹ × 73² × 11¹ × 53¹
LCM(74606,74624) = 2783699072