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What is the Least Common Multiple of 68408 and 68420?

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 68408 and 68420 is 1170118840.

LCM(68408,68420) = 1170118840

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Least Common Multiple of 68408 and 68420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68408 and 68420, than apply into the LCM equation.

GCF(68408,68420) = 4
LCM(68408,68420) = ( 68408 × 68420) / 4
LCM(68408,68420) = 4680475360 / 4
LCM(68408,68420) = 1170118840

Least Common Multiple (LCM) of 68408 and 68420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68408 and 68420. First we will calculate the prime factors of 68408 and 68420.

Prime Factorization of 68408

Prime factors of 68408 are 2, 17, 503. Prime factorization of 68408 in exponential form is:

68408 = 23 × 171 × 5031

Prime Factorization of 68420

Prime factors of 68420 are 2, 5, 11, 311. Prime factorization of 68420 in exponential form is:

68420 = 22 × 51 × 111 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 68408 and 68420.

LCM(68408,68420) = 23 × 171 × 5031 × 51 × 111 × 3111
LCM(68408,68420) = 1170118840