What is the Least Common Multiple of 78481 and 78486?

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 78481 and 78486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78481 and 78486, than apply into the LCM equation.

GCF(78481,78486) = 1
LCM(78481,78486) = ( 78481 × 78486) / 1
LCM(78481,78486) = 6159659766 / 1
LCM(78481,78486) = 6159659766

Least Common Multiple (LCM) of 78481 and 78486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78481 and 78486. First we will calculate the prime factors of 78481 and 78486.

Prime Factorization of 78481

Prime Factorization of 78486

Now multiplying the highest exponent prime factors to calculate the LCM of 78481 and 78486.

LCM(78481,78486) = 13¹ × 6037¹ × 2¹ × 3¹ × 103¹ × 127¹
LCM(78481,78486) = 6159659766