What is the Least Common Multiple of 6974 and 6984?

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 6974 and 6984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6974 and 6984, than apply into the LCM equation.

GCF(6974,6984) = 2
LCM(6974,6984) = ( 6974 × 6984) / 2
LCM(6974,6984) = 48706416 / 2
LCM(6974,6984) = 24353208

Least Common Multiple (LCM) of 6974 and 6984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6974 and 6984. First we will calculate the prime factors of 6974 and 6984.

Prime Factorization of 6974

Prime Factorization of 6984

Now multiplying the highest exponent prime factors to calculate the LCM of 6974 and 6984.

LCM(6974,6984) = 2³ × 11¹ × 317¹ × 3² × 97¹
LCM(6974,6984) = 24353208