What is the Least Common Multiple of 91734 and 91738?

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 91734 and 91738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91734 and 91738, than apply into the LCM equation.

GCF(91734,91738) = 2
LCM(91734,91738) = ( 91734 × 91738) / 2
LCM(91734,91738) = 8415493692 / 2
LCM(91734,91738) = 4207746846

Least Common Multiple (LCM) of 91734 and 91738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91734 and 91738. First we will calculate the prime factors of 91734 and 91738.

Prime Factorization of 91734

Prime Factorization of 91738

Now multiplying the highest exponent prime factors to calculate the LCM of 91734 and 91738.

LCM(91734,91738) = 2¹ × 3¹ × 15289¹ × 45869¹
LCM(91734,91738) = 4207746846