What is the Least Common Multiple of 91053 and 91064?
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 91053 and 91064 is 8291650392.
LCM(91053,91064) = 8291650392
Least Common Multiple of 91053 and 91064 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91053 and 91064, than apply into the LCM equation.
GCF(91053,91064) = 1
LCM(91053,91064) = ( 91053 × 91064) / 1
LCM(91053,91064) = 8291650392 / 1
LCM(91053,91064) = 8291650392
Least Common Multiple (LCM) of 91053 and 91064 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91053 and 91064. First we will calculate the prime factors of 91053 and 91064.
Prime Factorization of 91053
Prime factors of 91053 are 3, 67, 151. Prime factorization of 91053 in exponential form is:
91053 = 32 × 671 × 1511
Prime Factorization of 91064
Prime factors of 91064 are 2, 11383. Prime factorization of 91064 in exponential form is:
91064 = 23 × 113831
Now multiplying the highest exponent prime factors to calculate the LCM of 91053 and 91064.
LCM(91053,91064) = 32 × 671 × 1511 × 23 × 113831
LCM(91053,91064) = 8291650392
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