What is the Least Common Multiple of 73734 and 73744?

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 73734 and 73744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73734 and 73744, than apply into the LCM equation.

GCF(73734,73744) = 2
LCM(73734,73744) = ( 73734 × 73744) / 2
LCM(73734,73744) = 5437440096 / 2
LCM(73734,73744) = 2718720048

Least Common Multiple (LCM) of 73734 and 73744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73734 and 73744. First we will calculate the prime factors of 73734 and 73744.

Prime Factorization of 73734

Prime Factorization of 73744

Now multiplying the highest exponent prime factors to calculate the LCM of 73734 and 73744.

LCM(73734,73744) = 2⁴ × 3¹ × 12289¹ × 11¹ × 419¹
LCM(73734,73744) = 2718720048