What is the Least Common Multiple of 69880 and 69893?

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 69880 and 69893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69880 and 69893, than apply into the LCM equation.

GCF(69880,69893) = 1
LCM(69880,69893) = ( 69880 × 69893) / 1
LCM(69880,69893) = 4884122840 / 1
LCM(69880,69893) = 4884122840

Least Common Multiple (LCM) of 69880 and 69893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69880 and 69893. First we will calculate the prime factors of 69880 and 69893.

Prime Factorization of 69880

Prime Factorization of 69893

Now multiplying the highest exponent prime factors to calculate the LCM of 69880 and 69893.

LCM(69880,69893) = 2³ × 5¹ × 1747¹ × 37¹ × 1889¹
LCM(69880,69893) = 4884122840