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What is the Least Common Multiple of 26980 and 26998?

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 26980 and 26998 is 364203020.

LCM(26980,26998) = 364203020

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Least Common Multiple of 26980 and 26998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26980 and 26998, than apply into the LCM equation.

GCF(26980,26998) = 2
LCM(26980,26998) = ( 26980 × 26998) / 2
LCM(26980,26998) = 728406040 / 2
LCM(26980,26998) = 364203020

Least Common Multiple (LCM) of 26980 and 26998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26980 and 26998. First we will calculate the prime factors of 26980 and 26998.

Prime Factorization of 26980

Prime factors of 26980 are 2, 5, 19, 71. Prime factorization of 26980 in exponential form is:

26980 = 22 × 51 × 191 × 711

Prime Factorization of 26998

Prime factors of 26998 are 2, 13499. Prime factorization of 26998 in exponential form is:

26998 = 21 × 134991

Now multiplying the highest exponent prime factors to calculate the LCM of 26980 and 26998.

LCM(26980,26998) = 22 × 51 × 191 × 711 × 134991
LCM(26980,26998) = 364203020