What is the Least Common Multiple of 69614 and 69621?

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 69614 and 69621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69614 and 69621, than apply into the LCM equation.

GCF(69614,69621) = 1
LCM(69614,69621) = ( 69614 × 69621) / 1
LCM(69614,69621) = 4846596294 / 1
LCM(69614,69621) = 4846596294

Least Common Multiple (LCM) of 69614 and 69621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69614 and 69621. First we will calculate the prime factors of 69614 and 69621.

Prime Factorization of 69614

Prime Factorization of 69621

Now multiplying the highest exponent prime factors to calculate the LCM of 69614 and 69621.

LCM(69614,69621) = 2¹ × 34807¹ × 3¹ × 23¹ × 1009¹
LCM(69614,69621) = 4846596294