What is the Least Common Multiple of 98422 and 98435?
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 98422 and 98435 is 9688169570.
LCM(98422,98435) = 9688169570
Least Common Multiple of 98422 and 98435 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98422 and 98435, than apply into the LCM equation.
GCF(98422,98435) = 1
LCM(98422,98435) = ( 98422 × 98435) / 1
LCM(98422,98435) = 9688169570 / 1
LCM(98422,98435) = 9688169570
Least Common Multiple (LCM) of 98422 and 98435 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98422 and 98435. First we will calculate the prime factors of 98422 and 98435.
Prime Factorization of 98422
Prime factors of 98422 are 2, 49211. Prime factorization of 98422 in exponential form is:
98422 = 21 × 492111
Prime Factorization of 98435
Prime factors of 98435 are 5, 19687. Prime factorization of 98435 in exponential form is:
98435 = 51 × 196871
Now multiplying the highest exponent prime factors to calculate the LCM of 98422 and 98435.
LCM(98422,98435) = 21 × 492111 × 51 × 196871
LCM(98422,98435) = 9688169570
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