What is the Least Common Multiple of 93621 and 93641?
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 93641 is 8766764061.
LCM(93621,93641) = 8766764061
Least Common Multiple of 93621 and 93641 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 93641, than apply into the LCM equation.
GCF(93621,93641) = 1
LCM(93621,93641) = ( 93621 × 93641) / 1
LCM(93621,93641) = 8766764061 / 1
LCM(93621,93641) = 8766764061
Least Common Multiple (LCM) of 93621 and 93641 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93621 and 93641. First we will calculate the prime factors of 93621 and 93641.
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 93641
Prime factors of 93641 are 29, 3229. Prime factorization of 93641 in exponential form is:
93641 = 291 × 32291
Now multiplying the highest exponent prime factors to calculate the LCM of 93621 and 93641.
LCM(93621,93641) = 31 × 111 × 28371 × 291 × 32291
LCM(93621,93641) = 8766764061
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