What is the Least Common Multiple of 62192 and 62197?

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 62197 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 62197, than apply into the LCM equation.

GCF(62192,62197) = 1
LCM(62192,62197) = ( 62192 × 62197) / 1
LCM(62192,62197) = 3868155824 / 1
LCM(62192,62197) = 3868155824

Least Common Multiple (LCM) of 62192 and 62197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62192 and 62197. First we will calculate the prime factors of 62192 and 62197.

Prime Factorization of 62192

Prime Factorization of 62197

Now multiplying the highest exponent prime factors to calculate the LCM of 62192 and 62197.

LCM(62192,62197) = 2⁴ × 13² × 23¹ × 37¹ × 41²
LCM(62192,62197) = 3868155824