What is the Least Common Multiple of 77445 and 77457?

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 77445 and 77457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77445 and 77457, than apply into the LCM equation.

GCF(77445,77457) = 3
LCM(77445,77457) = ( 77445 × 77457) / 3
LCM(77445,77457) = 5998657365 / 3
LCM(77445,77457) = 1999552455

Least Common Multiple (LCM) of 77445 and 77457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77445 and 77457. First we will calculate the prime factors of 77445 and 77457.

Prime Factorization of 77445

Prime Factorization of 77457

Now multiplying the highest exponent prime factors to calculate the LCM of 77445 and 77457.

LCM(77445,77457) = 3² × 5¹ × 1721¹ × 25819¹
LCM(77445,77457) = 1999552455