What is the Least Common Multiple of 77046 and 77059?

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 77046 and 77059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77046 and 77059, than apply into the LCM equation.

GCF(77046,77059) = 1
LCM(77046,77059) = ( 77046 × 77059) / 1
LCM(77046,77059) = 5937087714 / 1
LCM(77046,77059) = 5937087714

Least Common Multiple (LCM) of 77046 and 77059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77046 and 77059. First we will calculate the prime factors of 77046 and 77059.

Prime Factorization of 77046

Prime Factorization of 77059

Now multiplying the highest exponent prime factors to calculate the LCM of 77046 and 77059.

LCM(77046,77059) = 2¹ × 3¹ × 12841¹ × 263¹ × 293¹
LCM(77046,77059) = 5937087714