What is the Least Common Multiple of 30646 and 30657?

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 30646 and 30657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30646 and 30657, than apply into the LCM equation.

GCF(30646,30657) = 11
LCM(30646,30657) = ( 30646 × 30657) / 11
LCM(30646,30657) = 939514422 / 11
LCM(30646,30657) = 85410402

Least Common Multiple (LCM) of 30646 and 30657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30646 and 30657. First we will calculate the prime factors of 30646 and 30657.

Prime Factorization of 30646

Prime Factorization of 30657

Now multiplying the highest exponent prime factors to calculate the LCM of 30646 and 30657.

LCM(30646,30657) = 2¹ × 7¹ × 11¹ × 199¹ × 3¹ × 929¹
LCM(30646,30657) = 85410402