What is the Least Common Multiple of 72758 and 72769?

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 72758 and 72769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72758 and 72769, than apply into the LCM equation.

GCF(72758,72769) = 1
LCM(72758,72769) = ( 72758 × 72769) / 1
LCM(72758,72769) = 5294526902 / 1
LCM(72758,72769) = 5294526902

Least Common Multiple (LCM) of 72758 and 72769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72758 and 72769. First we will calculate the prime factors of 72758 and 72769.

Prime Factorization of 72758

Prime Factorization of 72769

Now multiplying the highest exponent prime factors to calculate the LCM of 72758 and 72769.

LCM(72758,72769) = 2¹ × 7¹ × 5197¹ × 53¹ × 1373¹
LCM(72758,72769) = 5294526902