What is the Least Common Multiple of 61832 and 61848?

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 61832 and 61848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61832 and 61848, than apply into the LCM equation.

GCF(61832,61848) = 8
LCM(61832,61848) = ( 61832 × 61848) / 8
LCM(61832,61848) = 3824185536 / 8
LCM(61832,61848) = 478023192

Least Common Multiple (LCM) of 61832 and 61848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61832 and 61848. First we will calculate the prime factors of 61832 and 61848.

Prime Factorization of 61832

Prime Factorization of 61848

Now multiplying the highest exponent prime factors to calculate the LCM of 61832 and 61848.

LCM(61832,61848) = 2³ × 59¹ × 131¹ × 3² × 859¹
LCM(61832,61848) = 478023192