What is the Least Common Multiple of 93622 and 93632?
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 93622 and 93632 is 4383007552.
LCM(93622,93632) = 4383007552
Least Common Multiple of 93622 and 93632 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93622 and 93632, than apply into the LCM equation.
GCF(93622,93632) = 2
LCM(93622,93632) = ( 93622 × 93632) / 2
LCM(93622,93632) = 8766015104 / 2
LCM(93622,93632) = 4383007552
Least Common Multiple (LCM) of 93622 and 93632 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93622 and 93632. First we will calculate the prime factors of 93622 and 93632.
Prime Factorization of 93622
Prime factors of 93622 are 2, 46811. Prime factorization of 93622 in exponential form is:
93622 = 21 × 468111
Prime Factorization of 93632
Prime factors of 93632 are 2, 7, 11, 19. Prime factorization of 93632 in exponential form is:
93632 = 26 × 71 × 111 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 93622 and 93632.
LCM(93622,93632) = 26 × 468111 × 71 × 111 × 191
LCM(93622,93632) = 4383007552
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