What is the Least Common Multiple of 59490 and 59506?

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 59490 and 59506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59490 and 59506, than apply into the LCM equation.

GCF(59490,59506) = 2
LCM(59490,59506) = ( 59490 × 59506) / 2
LCM(59490,59506) = 3540011940 / 2
LCM(59490,59506) = 1770005970

Least Common Multiple (LCM) of 59490 and 59506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59490 and 59506. First we will calculate the prime factors of 59490 and 59506.

Prime Factorization of 59490

Prime Factorization of 59506

Now multiplying the highest exponent prime factors to calculate the LCM of 59490 and 59506.

LCM(59490,59506) = 2¹ × 3² × 5¹ × 661¹ × 29753¹
LCM(59490,59506) = 1770005970