What is the Least Common Multiple of 6961 and 6974?

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 6961 and 6974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6961 and 6974, than apply into the LCM equation.

GCF(6961,6974) = 1
LCM(6961,6974) = ( 6961 × 6974) / 1
LCM(6961,6974) = 48546014 / 1
LCM(6961,6974) = 48546014

Least Common Multiple (LCM) of 6961 and 6974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6961 and 6974. First we will calculate the prime factors of 6961 and 6974.

Prime Factorization of 6961

Prime Factorization of 6974

Now multiplying the highest exponent prime factors to calculate the LCM of 6961 and 6974.

LCM(6961,6974) = 6961¹ × 2¹ × 11¹ × 317¹
LCM(6961,6974) = 48546014