What is the Least Common Multiple of 6674 and 6685?

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 6674 and 6685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6674 and 6685, than apply into the LCM equation.

GCF(6674,6685) = 1
LCM(6674,6685) = ( 6674 × 6685) / 1
LCM(6674,6685) = 44615690 / 1
LCM(6674,6685) = 44615690

Least Common Multiple (LCM) of 6674 and 6685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6674 and 6685. First we will calculate the prime factors of 6674 and 6685.

Prime Factorization of 6674

Prime Factorization of 6685

Now multiplying the highest exponent prime factors to calculate the LCM of 6674 and 6685.

LCM(6674,6685) = 2¹ × 47¹ × 71¹ × 5¹ × 7¹ × 191¹
LCM(6674,6685) = 44615690