What is the Least Common Multiple of 91059 and 91078?
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 91078 is 8293471602.
LCM(91059,91078) = 8293471602
Least Common Multiple of 91059 and 91078 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 91078, than apply into the LCM equation.
GCF(91059,91078) = 1
LCM(91059,91078) = ( 91059 × 91078) / 1
LCM(91059,91078) = 8293471602 / 1
LCM(91059,91078) = 8293471602
Least Common Multiple (LCM) of 91059 and 91078 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91059 and 91078. First we will calculate the prime factors of 91059 and 91078.
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 91078
Prime factors of 91078 are 2, 13, 31, 113. Prime factorization of 91078 in exponential form is:
91078 = 21 × 131 × 311 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 91059 and 91078.
LCM(91059,91078) = 31 × 1271 × 2391 × 21 × 131 × 311 × 1131
LCM(91059,91078) = 8293471602
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