What is the Least Common Multiple of 77054 and 77065?

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 77054 and 77065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77054 and 77065, than apply into the LCM equation.

GCF(77054,77065) = 1
LCM(77054,77065) = ( 77054 × 77065) / 1
LCM(77054,77065) = 5938166510 / 1
LCM(77054,77065) = 5938166510

Least Common Multiple (LCM) of 77054 and 77065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77054 and 77065. First we will calculate the prime factors of 77054 and 77065.

Prime Factorization of 77054

Prime Factorization of 77065

Now multiplying the highest exponent prime factors to calculate the LCM of 77054 and 77065.

LCM(77054,77065) = 2¹ × 59¹ × 653¹ × 5¹ × 15413¹
LCM(77054,77065) = 5938166510