What is the Least Common Multiple of 98852 and 98861?
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 98852 and 98861 is 9772607572.
LCM(98852,98861) = 9772607572
Least Common Multiple of 98852 and 98861 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98852 and 98861, than apply into the LCM equation.
GCF(98852,98861) = 1
LCM(98852,98861) = ( 98852 × 98861) / 1
LCM(98852,98861) = 9772607572 / 1
LCM(98852,98861) = 9772607572
Least Common Multiple (LCM) of 98852 and 98861 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98852 and 98861. First we will calculate the prime factors of 98852 and 98861.
Prime Factorization of 98852
Prime factors of 98852 are 2, 13, 1901. Prime factorization of 98852 in exponential form is:
98852 = 22 × 131 × 19011
Prime Factorization of 98861
Prime factors of 98861 are 7, 29, 487. Prime factorization of 98861 in exponential form is:
98861 = 71 × 291 × 4871
Now multiplying the highest exponent prime factors to calculate the LCM of 98852 and 98861.
LCM(98852,98861) = 22 × 131 × 19011 × 71 × 291 × 4871
LCM(98852,98861) = 9772607572
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