What is the Least Common Multiple of 74676 and 74690?

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 74676 and 74690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74676 and 74690, than apply into the LCM equation.

GCF(74676,74690) = 14
LCM(74676,74690) = ( 74676 × 74690) / 14
LCM(74676,74690) = 5577550440 / 14
LCM(74676,74690) = 398396460

Least Common Multiple (LCM) of 74676 and 74690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74676 and 74690. First we will calculate the prime factors of 74676 and 74690.

Prime Factorization of 74676

Prime Factorization of 74690

Now multiplying the highest exponent prime factors to calculate the LCM of 74676 and 74690.

LCM(74676,74690) = 2² × 3¹ × 7² × 127¹ × 5¹ × 11¹ × 97¹
LCM(74676,74690) = 398396460