What is the Least Common Multiple of 50946 and 50960?

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 50946 and 50960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50946 and 50960, than apply into the LCM equation.

GCF(50946,50960) = 14
LCM(50946,50960) = ( 50946 × 50960) / 14
LCM(50946,50960) = 2596208160 / 14
LCM(50946,50960) = 185443440

Least Common Multiple (LCM) of 50946 and 50960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50946 and 50960. First we will calculate the prime factors of 50946 and 50960.

Prime Factorization of 50946

Prime Factorization of 50960

Now multiplying the highest exponent prime factors to calculate the LCM of 50946 and 50960.

LCM(50946,50960) = 2⁴ × 3¹ × 7² × 1213¹ × 5¹ × 13¹
LCM(50946,50960) = 185443440