What is the Least Common Multiple of 60745 and 60749?

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 60745 and 60749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60745 and 60749, than apply into the LCM equation.

GCF(60745,60749) = 1
LCM(60745,60749) = ( 60745 × 60749) / 1
LCM(60745,60749) = 3690198005 / 1
LCM(60745,60749) = 3690198005

Least Common Multiple (LCM) of 60745 and 60749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60745 and 60749. First we will calculate the prime factors of 60745 and 60749.

Prime Factorization of 60745

Prime Factorization of 60749

Now multiplying the highest exponent prime factors to calculate the LCM of 60745 and 60749.

LCM(60745,60749) = 5¹ × 12149¹ × 13¹ × 4673¹
LCM(60745,60749) = 3690198005