What is the Least Common Multiple of 98950 and 98954?
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 98950 and 98954 is 4895749150.
LCM(98950,98954) = 4895749150
Least Common Multiple of 98950 and 98954 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98950 and 98954, than apply into the LCM equation.
GCF(98950,98954) = 2
LCM(98950,98954) = ( 98950 × 98954) / 2
LCM(98950,98954) = 9791498300 / 2
LCM(98950,98954) = 4895749150
Least Common Multiple (LCM) of 98950 and 98954 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98950 and 98954. First we will calculate the prime factors of 98950 and 98954.
Prime Factorization of 98950
Prime factors of 98950 are 2, 5, 1979. Prime factorization of 98950 in exponential form is:
98950 = 21 × 52 × 19791
Prime Factorization of 98954
Prime factors of 98954 are 2, 49477. Prime factorization of 98954 in exponential form is:
98954 = 21 × 494771
Now multiplying the highest exponent prime factors to calculate the LCM of 98950 and 98954.
LCM(98950,98954) = 21 × 52 × 19791 × 494771
LCM(98950,98954) = 4895749150
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