What is the Least Common Multiple of 51538 and 51557?

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 51538 and 51557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51538 and 51557, than apply into the LCM equation.

GCF(51538,51557) = 1
LCM(51538,51557) = ( 51538 × 51557) / 1
LCM(51538,51557) = 2657144666 / 1
LCM(51538,51557) = 2657144666

Least Common Multiple (LCM) of 51538 and 51557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51538 and 51557. First we will calculate the prime factors of 51538 and 51557.

Prime Factorization of 51538

Prime Factorization of 51557

Now multiplying the highest exponent prime factors to calculate the LCM of 51538 and 51557.

LCM(51538,51557) = 2¹ × 73¹ × 353¹ × 11¹ × 43¹ × 109¹
LCM(51538,51557) = 2657144666