What is the Least Common Multiple of 74635 and 74643?

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 74635 and 74643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74635 and 74643, than apply into the LCM equation.

GCF(74635,74643) = 1
LCM(74635,74643) = ( 74635 × 74643) / 1
LCM(74635,74643) = 5570980305 / 1
LCM(74635,74643) = 5570980305

Least Common Multiple (LCM) of 74635 and 74643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74635 and 74643. First we will calculate the prime factors of 74635 and 74643.

Prime Factorization of 74635

Prime Factorization of 74643

Now multiplying the highest exponent prime factors to calculate the LCM of 74635 and 74643.

LCM(74635,74643) = 5¹ × 11¹ × 23¹ × 59¹ × 3¹ × 139¹ × 179¹
LCM(74635,74643) = 5570980305