What is the Least Common Multiple of 93621 and 93629?
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 93621 and 93629 is 8765640609.
LCM(93621,93629) = 8765640609
Least Common Multiple of 93621 and 93629 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93621 and 93629, than apply into the LCM equation.
GCF(93621,93629) = 1
LCM(93621,93629) = ( 93621 × 93629) / 1
LCM(93621,93629) = 8765640609 / 1
LCM(93621,93629) = 8765640609
Least Common Multiple (LCM) of 93621 and 93629 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93621 and 93629. First we will calculate the prime factors of 93621 and 93629.
Prime Factorization of 93621
Prime factors of 93621 are 3, 11, 2837. Prime factorization of 93621 in exponential form is:
93621 = 31 × 111 × 28371
Prime Factorization of 93629
Prime factors of 93629 are 93629. Prime factorization of 93629 in exponential form is:
93629 = 936291
Now multiplying the highest exponent prime factors to calculate the LCM of 93621 and 93629.
LCM(93621,93629) = 31 × 111 × 28371 × 936291
LCM(93621,93629) = 8765640609
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