What is the Least Common Multiple of 52950 and 52965?

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 52950 and 52965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52950 and 52965, than apply into the LCM equation.

GCF(52950,52965) = 15
LCM(52950,52965) = ( 52950 × 52965) / 15
LCM(52950,52965) = 2804496750 / 15
LCM(52950,52965) = 186966450

Least Common Multiple (LCM) of 52950 and 52965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52950 and 52965. First we will calculate the prime factors of 52950 and 52965.

Prime Factorization of 52950

Prime Factorization of 52965

Now multiplying the highest exponent prime factors to calculate the LCM of 52950 and 52965.

LCM(52950,52965) = 2¹ × 3² × 5² × 353¹ × 11¹ × 107¹
LCM(52950,52965) = 186966450