What is the Least Common Multiple of 62192 and 62204?

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 62204 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 62204, than apply into the LCM equation.

GCF(62192,62204) = 4
LCM(62192,62204) = ( 62192 × 62204) / 4
LCM(62192,62204) = 3868591168 / 4
LCM(62192,62204) = 967147792

Least Common Multiple (LCM) of 62192 and 62204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62192 and 62204. First we will calculate the prime factors of 62192 and 62204.

Prime Factorization of 62192

Prime Factorization of 62204

Now multiplying the highest exponent prime factors to calculate the LCM of 62192 and 62204.

LCM(62192,62204) = 2⁴ × 13² × 23¹ × 15551¹
LCM(62192,62204) = 967147792