What is the Least Common Multiple of 40946 and 40952?

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 40946 and 40952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40946 and 40952, than apply into the LCM equation.

GCF(40946,40952) = 2
LCM(40946,40952) = ( 40946 × 40952) / 2
LCM(40946,40952) = 1676820592 / 2
LCM(40946,40952) = 838410296

Least Common Multiple (LCM) of 40946 and 40952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40946 and 40952. First we will calculate the prime factors of 40946 and 40952.

Prime Factorization of 40946

Prime Factorization of 40952

Now multiplying the highest exponent prime factors to calculate the LCM of 40946 and 40952.

LCM(40946,40952) = 2³ × 59¹ × 347¹ × 5119¹
LCM(40946,40952) = 838410296