What is the Least Common Multiple of 62342 and 62349?

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 62342 and 62349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62342 and 62349, than apply into the LCM equation.

GCF(62342,62349) = 7
LCM(62342,62349) = ( 62342 × 62349) / 7
LCM(62342,62349) = 3886961358 / 7
LCM(62342,62349) = 555280194

Least Common Multiple (LCM) of 62342 and 62349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62342 and 62349. First we will calculate the prime factors of 62342 and 62349.

Prime Factorization of 62342

Prime Factorization of 62349

Now multiplying the highest exponent prime factors to calculate the LCM of 62342 and 62349.

LCM(62342,62349) = 2¹ × 7¹ × 61¹ × 73¹ × 3¹ × 2969¹
LCM(62342,62349) = 555280194