What is the Least Common Multiple of 71965 and 71980?

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 71965 and 71980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71965 and 71980, than apply into the LCM equation.

GCF(71965,71980) = 5
LCM(71965,71980) = ( 71965 × 71980) / 5
LCM(71965,71980) = 5180040700 / 5
LCM(71965,71980) = 1036008140

Least Common Multiple (LCM) of 71965 and 71980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71965 and 71980. First we will calculate the prime factors of 71965 and 71980.

Prime Factorization of 71965

Prime Factorization of 71980

Now multiplying the highest exponent prime factors to calculate the LCM of 71965 and 71980.

LCM(71965,71980) = 5¹ × 37¹ × 389¹ × 2² × 59¹ × 61¹
LCM(71965,71980) = 1036008140