What is the Least Common Multiple of 71780 and 71794?

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 71780 and 71794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71780 and 71794, than apply into the LCM equation.

GCF(71780,71794) = 2
LCM(71780,71794) = ( 71780 × 71794) / 2
LCM(71780,71794) = 5153373320 / 2
LCM(71780,71794) = 2576686660

Least Common Multiple (LCM) of 71780 and 71794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71780 and 71794. First we will calculate the prime factors of 71780 and 71794.

Prime Factorization of 71780

Prime Factorization of 71794

Now multiplying the highest exponent prime factors to calculate the LCM of 71780 and 71794.

LCM(71780,71794) = 2² × 5¹ × 37¹ × 97¹ × 35897¹
LCM(71780,71794) = 2576686660