What is the Least Common Multiple of 74144 and 74150?

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 74144 and 74150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74144 and 74150, than apply into the LCM equation.

GCF(74144,74150) = 2
LCM(74144,74150) = ( 74144 × 74150) / 2
LCM(74144,74150) = 5497777600 / 2
LCM(74144,74150) = 2748888800

Least Common Multiple (LCM) of 74144 and 74150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74144 and 74150. First we will calculate the prime factors of 74144 and 74150.

Prime Factorization of 74144

Prime Factorization of 74150

Now multiplying the highest exponent prime factors to calculate the LCM of 74144 and 74150.

LCM(74144,74150) = 2⁵ × 7¹ × 331¹ × 5² × 1483¹
LCM(74144,74150) = 2748888800