What is the Least Common Multiple of 91059 and 91066?
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 91059 and 91066 is 8292378894.
LCM(91059,91066) = 8292378894
Least Common Multiple of 91059 and 91066 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91059 and 91066, than apply into the LCM equation.
GCF(91059,91066) = 1
LCM(91059,91066) = ( 91059 × 91066) / 1
LCM(91059,91066) = 8292378894 / 1
LCM(91059,91066) = 8292378894
Least Common Multiple (LCM) of 91059 and 91066 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91059 and 91066. First we will calculate the prime factors of 91059 and 91066.
Prime Factorization of 91059
Prime factors of 91059 are 3, 127, 239. Prime factorization of 91059 in exponential form is:
91059 = 31 × 1271 × 2391
Prime Factorization of 91066
Prime factors of 91066 are 2, 45533. Prime factorization of 91066 in exponential form is:
91066 = 21 × 455331
Now multiplying the highest exponent prime factors to calculate the LCM of 91059 and 91066.
LCM(91059,91066) = 31 × 1271 × 2391 × 21 × 455331
LCM(91059,91066) = 8292378894
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