GCF and LCM Calculator Logo

What is the Least Common Multiple of 65492 and 65499?

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 (LCM) of 65492 and 65499 is 612808644.

LCM(65492,65499) = 612808644

LCM Calculator and
and

Least Common Multiple of 65492 and 65499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65492 and 65499, than apply into the LCM equation.

GCF(65492,65499) = 7
LCM(65492,65499) = ( 65492 × 65499) / 7
LCM(65492,65499) = 4289660508 / 7
LCM(65492,65499) = 612808644

Least Common Multiple (LCM) of 65492 and 65499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65492 and 65499. First we will calculate the prime factors of 65492 and 65499.

Prime Factorization of 65492

Prime factors of 65492 are 2, 7, 2339. Prime factorization of 65492 in exponential form is:

65492 = 22 × 71 × 23391

Prime Factorization of 65499

Prime factors of 65499 are 3, 7, 3119. Prime factorization of 65499 in exponential form is:

65499 = 31 × 71 × 31191

Now multiplying the highest exponent prime factors to calculate the LCM of 65492 and 65499.

LCM(65492,65499) = 22 × 71 × 23391 × 31 × 31191
LCM(65492,65499) = 612808644