What is the Least Common Multiple of 74834 and 74851?

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 74834 and 74851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74834 and 74851, than apply into the LCM equation.

GCF(74834,74851) = 17
LCM(74834,74851) = ( 74834 × 74851) / 17
LCM(74834,74851) = 5601399734 / 17
LCM(74834,74851) = 329494102

Least Common Multiple (LCM) of 74834 and 74851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74834 and 74851. First we will calculate the prime factors of 74834 and 74851.

Prime Factorization of 74834

Prime Factorization of 74851

Now multiplying the highest exponent prime factors to calculate the LCM of 74834 and 74851.

LCM(74834,74851) = 2¹ × 17² × 31¹ × 71¹ × 7¹ × 37¹
LCM(74834,74851) = 329494102