What is the Least Common Multiple of 51415 and 51429?

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 51415 and 51429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51415 and 51429, than apply into the LCM equation.

GCF(51415,51429) = 7
LCM(51415,51429) = ( 51415 × 51429) / 7
LCM(51415,51429) = 2644222035 / 7
LCM(51415,51429) = 377746005

Least Common Multiple (LCM) of 51415 and 51429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51415 and 51429. First we will calculate the prime factors of 51415 and 51429.

Prime Factorization of 51415

Prime Factorization of 51429

Now multiplying the highest exponent prime factors to calculate the LCM of 51415 and 51429.

LCM(51415,51429) = 5¹ × 7¹ × 13¹ × 113¹ × 3¹ × 31¹ × 79¹
LCM(51415,51429) = 377746005