What is the Least Common Multiple of 74442 and 74461?

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 74442 and 74461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74442 and 74461, than apply into the LCM equation.

GCF(74442,74461) = 19
LCM(74442,74461) = ( 74442 × 74461) / 19
LCM(74442,74461) = 5543025762 / 19
LCM(74442,74461) = 291738198

Least Common Multiple (LCM) of 74442 and 74461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74442 and 74461. First we will calculate the prime factors of 74442 and 74461.

Prime Factorization of 74442

Prime Factorization of 74461

Now multiplying the highest exponent prime factors to calculate the LCM of 74442 and 74461.

LCM(74442,74461) = 2¹ × 3¹ × 19¹ × 653¹ × 3919¹
LCM(74442,74461) = 291738198