What is the Least Common Multiple of 10738 and 10748?

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 10738 and 10748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10738 and 10748, than apply into the LCM equation.

GCF(10738,10748) = 2
LCM(10738,10748) = ( 10738 × 10748) / 2
LCM(10738,10748) = 115412024 / 2
LCM(10738,10748) = 57706012

Least Common Multiple (LCM) of 10738 and 10748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10738 and 10748. First we will calculate the prime factors of 10738 and 10748.

Prime Factorization of 10738

Prime Factorization of 10748

Now multiplying the highest exponent prime factors to calculate the LCM of 10738 and 10748.

LCM(10738,10748) = 2² × 7¹ × 13¹ × 59¹ × 2687¹
LCM(10738,10748) = 57706012