What is the Least Common Multiple of 69251 and 69265?

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 69251 and 69265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69251 and 69265, than apply into the LCM equation.

GCF(69251,69265) = 7
LCM(69251,69265) = ( 69251 × 69265) / 7
LCM(69251,69265) = 4796670515 / 7
LCM(69251,69265) = 685238645

Least Common Multiple (LCM) of 69251 and 69265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69251 and 69265. First we will calculate the prime factors of 69251 and 69265.

Prime Factorization of 69251

Prime Factorization of 69265

Now multiplying the highest exponent prime factors to calculate the LCM of 69251 and 69265.

LCM(69251,69265) = 7¹ × 13¹ × 761¹ × 5¹ × 1979¹
LCM(69251,69265) = 685238645