What is the Least Common Multiple of 77530 and 77539?

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 77530 and 77539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77530 and 77539, than apply into the LCM equation.

GCF(77530,77539) = 1
LCM(77530,77539) = ( 77530 × 77539) / 1
LCM(77530,77539) = 6011598670 / 1
LCM(77530,77539) = 6011598670

Least Common Multiple (LCM) of 77530 and 77539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77530 and 77539. First we will calculate the prime factors of 77530 and 77539.

Prime Factorization of 77530

Prime Factorization of 77539

Now multiplying the highest exponent prime factors to calculate the LCM of 77530 and 77539.

LCM(77530,77539) = 2¹ × 5¹ × 7753¹ × 7¹ × 11¹ × 19¹ × 53¹
LCM(77530,77539) = 6011598670