What is the Least Common Multiple of 73769 and 73789?

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 73769 and 73789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73769 and 73789, than apply into the LCM equation.

GCF(73769,73789) = 1
LCM(73769,73789) = ( 73769 × 73789) / 1
LCM(73769,73789) = 5443340741 / 1
LCM(73769,73789) = 5443340741

Least Common Multiple (LCM) of 73769 and 73789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73769 and 73789. First we will calculate the prime factors of 73769 and 73789.

Prime Factorization of 73769

Prime Factorization of 73789

Now multiplying the highest exponent prime factors to calculate the LCM of 73769 and 73789.

LCM(73769,73789) = 71¹ × 1039¹ × 113¹ × 653¹
LCM(73769,73789) = 5443340741