What is the Least Common Multiple of 74624 and 74630?

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 74624 and 74630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74624 and 74630, than apply into the LCM equation.

GCF(74624,74630) = 2
LCM(74624,74630) = ( 74624 × 74630) / 2
LCM(74624,74630) = 5569189120 / 2
LCM(74624,74630) = 2784594560

Least Common Multiple (LCM) of 74624 and 74630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74624 and 74630. First we will calculate the prime factors of 74624 and 74630.

Prime Factorization of 74624

Prime Factorization of 74630

Now multiplying the highest exponent prime factors to calculate the LCM of 74624 and 74630.

LCM(74624,74630) = 2⁷ × 11¹ × 53¹ × 5¹ × 17¹ × 439¹
LCM(74624,74630) = 2784594560