What is the Least Common Multiple of 26662 and 26670?
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 26662 and 26670 is 355537770.
LCM(26662,26670) = 355537770
Least Common Multiple of 26662 and 26670 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26662 and 26670, than apply into the LCM equation.
GCF(26662,26670) = 2
LCM(26662,26670) = ( 26662 × 26670) / 2
LCM(26662,26670) = 711075540 / 2
LCM(26662,26670) = 355537770
Least Common Multiple (LCM) of 26662 and 26670 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 26662 and 26670. First we will calculate the prime factors of 26662 and 26670.
Prime Factorization of 26662
Prime factors of 26662 are 2, 13331. Prime factorization of 26662 in exponential form is:
26662 = 21 × 133311
Prime Factorization of 26670
Prime factors of 26670 are 2, 3, 5, 7, 127. Prime factorization of 26670 in exponential form is:
26670 = 21 × 31 × 51 × 71 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 26662 and 26670.
LCM(26662,26670) = 21 × 133311 × 31 × 51 × 71 × 1271
LCM(26662,26670) = 355537770
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