What is the Least Common Multiple of 56638 and 56642?
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 56638 and 56642 is 1604044798.
LCM(56638,56642) = 1604044798
Least Common Multiple of 56638 and 56642 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56638 and 56642, than apply into the LCM equation.
GCF(56638,56642) = 2
LCM(56638,56642) = ( 56638 × 56642) / 2
LCM(56638,56642) = 3208089596 / 2
LCM(56638,56642) = 1604044798
Least Common Multiple (LCM) of 56638 and 56642 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56638 and 56642. First we will calculate the prime factors of 56638 and 56642.
Prime Factorization of 56638
Prime factors of 56638 are 2, 28319. Prime factorization of 56638 in exponential form is:
56638 = 21 × 283191
Prime Factorization of 56642
Prime factors of 56642 are 2, 127, 223. Prime factorization of 56642 in exponential form is:
56642 = 21 × 1271 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 56638 and 56642.
LCM(56638,56642) = 21 × 283191 × 1271 × 2231
LCM(56638,56642) = 1604044798
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