What is the Least Common Multiple of 74938 and 74944?

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 74938 and 74944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74938 and 74944, than apply into the LCM equation.

GCF(74938,74944) = 2
LCM(74938,74944) = ( 74938 × 74944) / 2
LCM(74938,74944) = 5616153472 / 2
LCM(74938,74944) = 2808076736

Least Common Multiple (LCM) of 74938 and 74944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74938 and 74944. First we will calculate the prime factors of 74938 and 74944.

Prime Factorization of 74938

Prime Factorization of 74944

Now multiplying the highest exponent prime factors to calculate the LCM of 74938 and 74944.

LCM(74938,74944) = 2⁶ × 89¹ × 421¹ × 1171¹
LCM(74938,74944) = 2808076736