What is the Least Common Multiple of 74752 and 74760?

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 74752 and 74760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74752 and 74760, than apply into the LCM equation.

GCF(74752,74760) = 8
LCM(74752,74760) = ( 74752 × 74760) / 8
LCM(74752,74760) = 5588459520 / 8
LCM(74752,74760) = 698557440

Least Common Multiple (LCM) of 74752 and 74760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74752 and 74760. First we will calculate the prime factors of 74752 and 74760.

Prime Factorization of 74752

Prime Factorization of 74760

Now multiplying the highest exponent prime factors to calculate the LCM of 74752 and 74760.

LCM(74752,74760) = 2¹⁰ × 73¹ × 3¹ × 5¹ × 7¹ × 89¹
LCM(74752,74760) = 698557440