What is the Least Common Multiple of 52938 and 52950?

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 52938 and 52950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52938 and 52950, than apply into the LCM equation.

GCF(52938,52950) = 6
LCM(52938,52950) = ( 52938 × 52950) / 6
LCM(52938,52950) = 2803067100 / 6
LCM(52938,52950) = 467177850

Least Common Multiple (LCM) of 52938 and 52950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52938 and 52950. First we will calculate the prime factors of 52938 and 52950.

Prime Factorization of 52938

Prime Factorization of 52950

Now multiplying the highest exponent prime factors to calculate the LCM of 52938 and 52950.

LCM(52938,52950) = 2¹ × 3² × 17¹ × 173¹ × 5² × 353¹
LCM(52938,52950) = 467177850