What is the Least Common Multiple of 6974 and 6985?

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 6985 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 6985, than apply into the LCM equation.

GCF(6974,6985) = 11
LCM(6974,6985) = ( 6974 × 6985) / 11
LCM(6974,6985) = 48713390 / 11
LCM(6974,6985) = 4428490

Least Common Multiple (LCM) of 6974 and 6985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6974 and 6985. First we will calculate the prime factors of 6974 and 6985.

Prime Factorization of 6974

Prime Factorization of 6985

Now multiplying the highest exponent prime factors to calculate the LCM of 6974 and 6985.

LCM(6974,6985) = 2¹ × 11¹ × 317¹ × 5¹ × 127¹
LCM(6974,6985) = 4428490