What is the Least Common Multiple of 48102 and 48106?

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 48102 and 48106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48102 and 48106, than apply into the LCM equation.

GCF(48102,48106) = 2
LCM(48102,48106) = ( 48102 × 48106) / 2
LCM(48102,48106) = 2313994812 / 2
LCM(48102,48106) = 1156997406

Least Common Multiple (LCM) of 48102 and 48106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48102 and 48106. First we will calculate the prime factors of 48102 and 48106.

Prime Factorization of 48102

Prime Factorization of 48106

Now multiplying the highest exponent prime factors to calculate the LCM of 48102 and 48106.

LCM(48102,48106) = 2¹ × 3¹ × 8017¹ × 67¹ × 359¹
LCM(48102,48106) = 1156997406