What is the Least Common Multiple of 34748 and 34760?

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 34748 and 34760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34748 and 34760, than apply into the LCM equation.

GCF(34748,34760) = 4
LCM(34748,34760) = ( 34748 × 34760) / 4
LCM(34748,34760) = 1207840480 / 4
LCM(34748,34760) = 301960120

Least Common Multiple (LCM) of 34748 and 34760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34748 and 34760. First we will calculate the prime factors of 34748 and 34760.

Prime Factorization of 34748

Prime Factorization of 34760

Now multiplying the highest exponent prime factors to calculate the LCM of 34748 and 34760.

LCM(34748,34760) = 2³ × 7¹ × 17¹ × 73¹ × 5¹ × 11¹ × 79¹
LCM(34748,34760) = 301960120