What is the Least Common Multiple of 48755 and 48769?

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 48755 and 48769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48755 and 48769, than apply into the LCM equation.

GCF(48755,48769) = 7
LCM(48755,48769) = ( 48755 × 48769) / 7
LCM(48755,48769) = 2377732595 / 7
LCM(48755,48769) = 339676085

Least Common Multiple (LCM) of 48755 and 48769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48755 and 48769. First we will calculate the prime factors of 48755 and 48769.

Prime Factorization of 48755

Prime Factorization of 48769

Now multiplying the highest exponent prime factors to calculate the LCM of 48755 and 48769.

LCM(48755,48769) = 5¹ × 7² × 199¹ × 6967¹
LCM(48755,48769) = 339676085