What is the Least Common Multiple of 52950 and 52960?

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 52960 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 52960, than apply into the LCM equation.

GCF(52950,52960) = 10
LCM(52950,52960) = ( 52950 × 52960) / 10
LCM(52950,52960) = 2804232000 / 10
LCM(52950,52960) = 280423200

Least Common Multiple (LCM) of 52950 and 52960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52950 and 52960. First we will calculate the prime factors of 52950 and 52960.

Prime Factorization of 52950

Prime Factorization of 52960

Now multiplying the highest exponent prime factors to calculate the LCM of 52950 and 52960.

LCM(52950,52960) = 2⁵ × 3¹ × 5² × 353¹ × 331¹
LCM(52950,52960) = 280423200