What is the Least Common Multiple of 62192 and 62205?

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 62192 and 62205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62192 and 62205, than apply into the LCM equation.

GCF(62192,62205) = 13
LCM(62192,62205) = ( 62192 × 62205) / 13
LCM(62192,62205) = 3868653360 / 13
LCM(62192,62205) = 297588720

Least Common Multiple (LCM) of 62192 and 62205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62192 and 62205. First we will calculate the prime factors of 62192 and 62205.

Prime Factorization of 62192

Prime Factorization of 62205

Now multiplying the highest exponent prime factors to calculate the LCM of 62192 and 62205.

LCM(62192,62205) = 2⁴ × 13² × 23¹ × 3¹ × 5¹ × 11¹ × 29¹
LCM(62192,62205) = 297588720