What is the Least Common Multiple of 21945 and 21965?

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 21945 and 21965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21945 and 21965, than apply into the LCM equation.

GCF(21945,21965) = 5
LCM(21945,21965) = ( 21945 × 21965) / 5
LCM(21945,21965) = 482021925 / 5
LCM(21945,21965) = 96404385

Least Common Multiple (LCM) of 21945 and 21965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21945 and 21965. First we will calculate the prime factors of 21945 and 21965.

Prime Factorization of 21945

Prime Factorization of 21965

Now multiplying the highest exponent prime factors to calculate the LCM of 21945 and 21965.

LCM(21945,21965) = 3¹ × 5¹ × 7¹ × 11¹ × 19¹ × 23¹ × 191¹
LCM(21945,21965) = 96404385