What is the Least Common Multiple of 52415 and 52426?

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 52415 and 52426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52415 and 52426, than apply into the LCM equation.

GCF(52415,52426) = 11
LCM(52415,52426) = ( 52415 × 52426) / 11
LCM(52415,52426) = 2747908790 / 11
LCM(52415,52426) = 249809890

Least Common Multiple (LCM) of 52415 and 52426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52415 and 52426. First we will calculate the prime factors of 52415 and 52426.

Prime Factorization of 52415

Prime Factorization of 52426

Now multiplying the highest exponent prime factors to calculate the LCM of 52415 and 52426.

LCM(52415,52426) = 5¹ × 11¹ × 953¹ × 2¹ × 2383¹
LCM(52415,52426) = 249809890