What is the Least Common Multiple of 74234 and 74251?

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 74234 and 74251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74234 and 74251, than apply into the LCM equation.

GCF(74234,74251) = 1
LCM(74234,74251) = ( 74234 × 74251) / 1
LCM(74234,74251) = 5511948734 / 1
LCM(74234,74251) = 5511948734

Least Common Multiple (LCM) of 74234 and 74251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74234 and 74251. First we will calculate the prime factors of 74234 and 74251.

Prime Factorization of 74234

Prime Factorization of 74251

Now multiplying the highest exponent prime factors to calculate the LCM of 74234 and 74251.

LCM(74234,74251) = 2¹ × 37117¹ × 41¹ × 1811¹
LCM(74234,74251) = 5511948734