What is the Least Common Multiple of 73794 and 73802?

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 73794 and 73802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73794 and 73802, than apply into the LCM equation.

GCF(73794,73802) = 2
LCM(73794,73802) = ( 73794 × 73802) / 2
LCM(73794,73802) = 5446144788 / 2
LCM(73794,73802) = 2723072394

Least Common Multiple (LCM) of 73794 and 73802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73794 and 73802. First we will calculate the prime factors of 73794 and 73802.

Prime Factorization of 73794

Prime Factorization of 73802

Now multiplying the highest exponent prime factors to calculate the LCM of 73794 and 73802.

LCM(73794,73802) = 2¹ × 3¹ × 7² × 251¹ × 36901¹
LCM(73794,73802) = 2723072394