What is the Least Common Multiple of 48678 and 48692?

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 48678 and 48692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48678 and 48692, than apply into the LCM equation.

GCF(48678,48692) = 14
LCM(48678,48692) = ( 48678 × 48692) / 14
LCM(48678,48692) = 2370229176 / 14
LCM(48678,48692) = 169302084

Least Common Multiple (LCM) of 48678 and 48692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48678 and 48692. First we will calculate the prime factors of 48678 and 48692.

Prime Factorization of 48678

Prime Factorization of 48692

Now multiplying the highest exponent prime factors to calculate the LCM of 48678 and 48692.

LCM(48678,48692) = 2² × 3¹ × 7¹ × 19¹ × 61¹ × 37¹ × 47¹
LCM(48678,48692) = 169302084