What is the Least Common Multiple of 74640 and 74657?

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 74640 and 74657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74640 and 74657, than apply into the LCM equation.

GCF(74640,74657) = 1
LCM(74640,74657) = ( 74640 × 74657) / 1
LCM(74640,74657) = 5572398480 / 1
LCM(74640,74657) = 5572398480

Least Common Multiple (LCM) of 74640 and 74657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74640 and 74657. First we will calculate the prime factors of 74640 and 74657.

Prime Factorization of 74640

Prime Factorization of 74657

Now multiplying the highest exponent prime factors to calculate the LCM of 74640 and 74657.

LCM(74640,74657) = 2⁴ × 3¹ × 5¹ × 311¹ × 11² × 617¹
LCM(74640,74657) = 5572398480