What is the Least Common Multiple of 74760 and 74772?

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 74760 and 74772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74760 and 74772, than apply into the LCM equation.

GCF(74760,74772) = 12
LCM(74760,74772) = ( 74760 × 74772) / 12
LCM(74760,74772) = 5589954720 / 12
LCM(74760,74772) = 465829560

Least Common Multiple (LCM) of 74760 and 74772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74760 and 74772. First we will calculate the prime factors of 74760 and 74772.

Prime Factorization of 74760

Prime Factorization of 74772

Now multiplying the highest exponent prime factors to calculate the LCM of 74760 and 74772.

LCM(74760,74772) = 2³ × 3² × 5¹ × 7¹ × 89¹ × 31¹ × 67¹
LCM(74760,74772) = 465829560