What is the Least Common Multiple of 93614 and 93621?
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 93614 and 93621 is 8764236294.
LCM(93614,93621) = 8764236294
Least Common Multiple of 93614 and 93621 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93614 and 93621, than apply into the LCM equation.
GCF(93614,93621) = 1
LCM(93614,93621) = ( 93614 × 93621) / 1
LCM(93614,93621) = 8764236294 / 1
LCM(93614,93621) = 8764236294
Least Common Multiple (LCM) of 93614 and 93621 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93614 and 93621. First we will calculate the prime factors of 93614 and 93621.
Prime Factorization of 93614
Prime factors of 93614 are 2, 46807. Prime factorization of 93614 in exponential form is:
93614 = 21 × 468071
Prime Factorization of 93621
Prime factors of 93621 are 3, 11, 2837. Prime factorization of 93621 in exponential form is:
93621 = 31 × 111 × 28371
Now multiplying the highest exponent prime factors to calculate the LCM of 93614 and 93621.
LCM(93614,93621) = 21 × 468071 × 31 × 111 × 28371
LCM(93614,93621) = 8764236294
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