What is the Least Common Multiple of 4965 and 4974?

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 4965 and 4974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4965 and 4974, than apply into the LCM equation.

GCF(4965,4974) = 3
LCM(4965,4974) = ( 4965 × 4974) / 3
LCM(4965,4974) = 24695910 / 3
LCM(4965,4974) = 8231970

Least Common Multiple (LCM) of 4965 and 4974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4965 and 4974. First we will calculate the prime factors of 4965 and 4974.

Prime Factorization of 4965

Prime Factorization of 4974

Now multiplying the highest exponent prime factors to calculate the LCM of 4965 and 4974.

LCM(4965,4974) = 3¹ × 5¹ × 331¹ × 2¹ × 829¹
LCM(4965,4974) = 8231970