What is the Least Common Multiple of 42614 and 42625?

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 42614 and 42625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42614 and 42625, than apply into the LCM equation.

GCF(42614,42625) = 11
LCM(42614,42625) = ( 42614 × 42625) / 11
LCM(42614,42625) = 1816421750 / 11
LCM(42614,42625) = 165129250

Least Common Multiple (LCM) of 42614 and 42625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42614 and 42625. First we will calculate the prime factors of 42614 and 42625.

Prime Factorization of 42614

Prime Factorization of 42625

Now multiplying the highest exponent prime factors to calculate the LCM of 42614 and 42625.

LCM(42614,42625) = 2¹ × 11¹ × 13¹ × 149¹ × 5³ × 31¹
LCM(42614,42625) = 165129250