What is the Least Common Multiple of 34734 and 34751?

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 34734 and 34751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34734 and 34751, than apply into the LCM equation.

GCF(34734,34751) = 1
LCM(34734,34751) = ( 34734 × 34751) / 1
LCM(34734,34751) = 1207041234 / 1
LCM(34734,34751) = 1207041234

Least Common Multiple (LCM) of 34734 and 34751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34734 and 34751. First we will calculate the prime factors of 34734 and 34751.

Prime Factorization of 34734

Prime Factorization of 34751

Now multiplying the highest exponent prime factors to calculate the LCM of 34734 and 34751.

LCM(34734,34751) = 2¹ × 3¹ × 7¹ × 827¹ × 19¹ × 31¹ × 59¹
LCM(34734,34751) = 1207041234