What is the Least Common Multiple of 69902 and 69920?

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 69902 and 69920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69902 and 69920, than apply into the LCM equation.

GCF(69902,69920) = 2
LCM(69902,69920) = ( 69902 × 69920) / 2
LCM(69902,69920) = 4887547840 / 2
LCM(69902,69920) = 2443773920

Least Common Multiple (LCM) of 69902 and 69920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69902 and 69920. First we will calculate the prime factors of 69902 and 69920.

Prime Factorization of 69902

Prime Factorization of 69920

Now multiplying the highest exponent prime factors to calculate the LCM of 69902 and 69920.

LCM(69902,69920) = 2⁵ × 7¹ × 4993¹ × 5¹ × 19¹ × 23¹
LCM(69902,69920) = 2443773920