What is the Least Common Multiple of 98662 and 98671?
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 98662 and 98671 is 9735078202.
LCM(98662,98671) = 9735078202
Least Common Multiple of 98662 and 98671 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98662 and 98671, than apply into the LCM equation.
GCF(98662,98671) = 1
LCM(98662,98671) = ( 98662 × 98671) / 1
LCM(98662,98671) = 9735078202 / 1
LCM(98662,98671) = 9735078202
Least Common Multiple (LCM) of 98662 and 98671 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98662 and 98671. First we will calculate the prime factors of 98662 and 98671.
Prime Factorization of 98662
Prime factors of 98662 are 2, 49331. Prime factorization of 98662 in exponential form is:
98662 = 21 × 493311
Prime Factorization of 98671
Prime factors of 98671 are 79, 1249. Prime factorization of 98671 in exponential form is:
98671 = 791 × 12491
Now multiplying the highest exponent prime factors to calculate the LCM of 98662 and 98671.
LCM(98662,98671) = 21 × 493311 × 791 × 12491
LCM(98662,98671) = 9735078202
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