What is the Least Common Multiple of 90639 and 90646?
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 90639 and 90646 is 8216062794.
LCM(90639,90646) = 8216062794
Least Common Multiple of 90639 and 90646 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90639 and 90646, than apply into the LCM equation.
GCF(90639,90646) = 1
LCM(90639,90646) = ( 90639 × 90646) / 1
LCM(90639,90646) = 8216062794 / 1
LCM(90639,90646) = 8216062794
Least Common Multiple (LCM) of 90639 and 90646 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90639 and 90646. First we will calculate the prime factors of 90639 and 90646.
Prime Factorization of 90639
Prime factors of 90639 are 3, 373. Prime factorization of 90639 in exponential form is:
90639 = 35 × 3731
Prime Factorization of 90646
Prime factors of 90646 are 2, 61, 743. Prime factorization of 90646 in exponential form is:
90646 = 21 × 611 × 7431
Now multiplying the highest exponent prime factors to calculate the LCM of 90639 and 90646.
LCM(90639,90646) = 35 × 3731 × 21 × 611 × 7431
LCM(90639,90646) = 8216062794
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