What is the Least Common Multiple of 74432 and 74442?

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 74432 and 74442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74432 and 74442, than apply into the LCM equation.

GCF(74432,74442) = 2
LCM(74432,74442) = ( 74432 × 74442) / 2
LCM(74432,74442) = 5540866944 / 2
LCM(74432,74442) = 2770433472

Least Common Multiple (LCM) of 74432 and 74442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74432 and 74442. First we will calculate the prime factors of 74432 and 74442.

Prime Factorization of 74432

Prime Factorization of 74442

Now multiplying the highest exponent prime factors to calculate the LCM of 74432 and 74442.

LCM(74432,74442) = 2⁶ × 1163¹ × 3¹ × 19¹ × 653¹
LCM(74432,74442) = 2770433472