What is the Least Common Multiple of 71940 and 71954?

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 71940 and 71954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71940 and 71954, than apply into the LCM equation.

GCF(71940,71954) = 2
LCM(71940,71954) = ( 71940 × 71954) / 2
LCM(71940,71954) = 5176370760 / 2
LCM(71940,71954) = 2588185380

Least Common Multiple (LCM) of 71940 and 71954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71940 and 71954. First we will calculate the prime factors of 71940 and 71954.

Prime Factorization of 71940

Prime Factorization of 71954

Now multiplying the highest exponent prime factors to calculate the LCM of 71940 and 71954.

LCM(71940,71954) = 2² × 3¹ × 5¹ × 11¹ × 109¹ × 35977¹
LCM(71940,71954) = 2588185380