What is the Least Common Multiple of 91886 and 91898?
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 91886 and 91898 is 4222069814.
LCM(91886,91898) = 4222069814
Least Common Multiple of 91886 and 91898 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91886 and 91898, than apply into the LCM equation.
GCF(91886,91898) = 2
LCM(91886,91898) = ( 91886 × 91898) / 2
LCM(91886,91898) = 8444139628 / 2
LCM(91886,91898) = 4222069814
Least Common Multiple (LCM) of 91886 and 91898 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91886 and 91898. First we will calculate the prime factors of 91886 and 91898.
Prime Factorization of 91886
Prime factors of 91886 are 2, 45943. Prime factorization of 91886 in exponential form is:
91886 = 21 × 459431
Prime Factorization of 91898
Prime factors of 91898 are 2, 45949. Prime factorization of 91898 in exponential form is:
91898 = 21 × 459491
Now multiplying the highest exponent prime factors to calculate the LCM of 91886 and 91898.
LCM(91886,91898) = 21 × 459431 × 459491
LCM(91886,91898) = 4222069814
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