What is the Least Common Multiple of 74643 and 74662?

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 74643 and 74662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74643 and 74662, than apply into the LCM equation.

GCF(74643,74662) = 1
LCM(74643,74662) = ( 74643 × 74662) / 1
LCM(74643,74662) = 5572995666 / 1
LCM(74643,74662) = 5572995666

Least Common Multiple (LCM) of 74643 and 74662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74643 and 74662. First we will calculate the prime factors of 74643 and 74662.

Prime Factorization of 74643

Prime Factorization of 74662

Now multiplying the highest exponent prime factors to calculate the LCM of 74643 and 74662.

LCM(74643,74662) = 3¹ × 139¹ × 179¹ × 2¹ × 7¹ × 5333¹
LCM(74643,74662) = 5572995666