What is the Least Common Multiple of 73046 and 73066?

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 73046 and 73066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73046 and 73066, than apply into the LCM equation.

GCF(73046,73066) = 2
LCM(73046,73066) = ( 73046 × 73066) / 2
LCM(73046,73066) = 5337179036 / 2
LCM(73046,73066) = 2668589518

Least Common Multiple (LCM) of 73046 and 73066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73046 and 73066. First we will calculate the prime factors of 73046 and 73066.

Prime Factorization of 73046

Prime Factorization of 73066

Now multiplying the highest exponent prime factors to calculate the LCM of 73046 and 73066.

LCM(73046,73066) = 2¹ × 36523¹ × 7¹ × 17¹ × 307¹
LCM(73046,73066) = 2668589518