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What is the Least Common Multiple of 62722 and 62739?

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 62722 and 62739 is 3935115558.

LCM(62722,62739) = 3935115558

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Least Common Multiple of 62722 and 62739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62722 and 62739, than apply into the LCM equation.

GCF(62722,62739) = 1
LCM(62722,62739) = ( 62722 × 62739) / 1
LCM(62722,62739) = 3935115558 / 1
LCM(62722,62739) = 3935115558

Least Common Multiple (LCM) of 62722 and 62739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62722 and 62739. First we will calculate the prime factors of 62722 and 62739.

Prime Factorization of 62722

Prime factors of 62722 are 2, 11, 2851. Prime factorization of 62722 in exponential form is:

62722 = 21 × 111 × 28511

Prime Factorization of 62739

Prime factors of 62739 are 3, 6971. Prime factorization of 62739 in exponential form is:

62739 = 32 × 69711

Now multiplying the highest exponent prime factors to calculate the LCM of 62722 and 62739.

LCM(62722,62739) = 21 × 111 × 28511 × 32 × 69711
LCM(62722,62739) = 3935115558